Controlling molecular rotations associated with molecular alignment and orientation is an active research area of experimental and theoretical molecular science[1]}, [2]}, [3]}, [4]}, [5]}, because of its fundamental importance in physics and chemistry. An oriented molecular sample has an asymmetric angular distribution upon reflection, while this distribution for the aligned molecule is symmetric but not isotropic. As a result, achieving molecular orientation since it requires the breakdown of inversion symmetry is more challenging than the well-established alignment in both the adiabatic and non-adiabatic regimes, where the adiabatic limit implies that the duration of the applied laser pulses is much longer than the characteristic timescale of the free
rotation of the molecule. Over the years, extensive efforts in theory and experiment have been put into generating a post-pulse orientation - known as the field-free orientation of molecules [6]}, [7]}, [8]}, [9]}, [10]}, [11]}, [12]}. It has potential applications ranging from molecular-phase modulators, ultrafast X-ray diffraction, and ultrashort pulse compression to chemical reactivity, nanoscale design, high harmonic generation, and molecular rotational echoes [13]}, [14]}, [15]}, [16]}, [17]}, [18]}, [19]}, [20]}.
